TWO NUMERICAL SOLUTIONS FOR SOLVING A MATHEMATICAL MODEL OF THE AVASCULAR TUMOR GROWTH

Korkut S. O., Karabas N. I., Başbınar Y.

JOURNAL OF BASIC AND CLINICAL HEALTH SCIENCES, vol.5, no.3, pp.156-164, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.30621/jbachs.957601
  • Journal Name: JOURNAL OF BASIC AND CLINICAL HEALTH SCIENCES
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.156-164
  • Keywords: Avascular tumor growth, numerical simulation, mathematical biology, three-stage strongly-stability preserving Runge-Kutta method, 4th-order Runge-Kutta Method
  • Dokuz Eylül University Affiliated: Yes

Abstract

Objective: Cancer which is one of the most challenging health problems overall the world is composed of various processes: tumorigenesis, angiogenesis, and metastasis. Attempting to understand the truth behind this complicated disease is one of the common objectives of many experts and researchers from different fields. To provide deeper insights any prognostic and/or diagnostic scientific contribution to this topic is so crucial. In this study, the avascular tumor growth model which is the earliest stage of tumor growth is taken into account from a mathematical point of view. The main aim is to solve the mathematical model of avascular tumor growth numerically.